# Difference between revisions of "Kuznetsova equation"

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[[Kuznetsova equation]] refers to problem below. |
[[Kuznetsova equation]] refers to problem below. |
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− | Find integer \( |
+ | Find integer \( A,B,C \) such that |

− | for any integer \( n \) there exist integer \( m \) such that |
+ | for any non-negative integer \( n \) there exist integer \( m \) such that |

− | \( |
+ | \( A^{B n + C} = B m+ C \) |

+ | |||

+ | Example of solution: |
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+ | |||

+ | \( A=3 \) <br> |
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+ | \( B=100 \)<br> |
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+ | \( C=87 \)<br> |

## Latest revision as of 22:24, 14 January 2020

Kuznetsova equation refers to problem below.

Find integer \( A,B,C \) such that

for any non-negative integer \( n \) there exist integer \( m \) such that

\( A^{B n + C} = B m+ C \)

Example of solution:

\( A=3 \)

\( B=100 \)

\( C=87 \)